Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
21350bb |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-683200000000 = -1 · 212 · 58 · 7 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 6 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,987,38017] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:87:1] |
Generators of the group modulo torsion |
j |
272199695/1748992 |
j-invariant |
L |
6.30216794264 |
L(r)(E,1)/r! |
Ω |
0.65742097509456 |
Real period |
R |
2.3965496163754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
21350e1 |
Quadratic twists by: 5 |